Critical exponents and fluctuations at BEC in a 2D harmonically trapped ideal gas
Por:
Morales-Amador M.I., Romero-Rochín V., Paredes R.
Publicada:
1 ene 2024
Resumen:
The critical properties displayed by an ideal 2D Bose gas trapped in a harmonic potential are determined and characterized in an exact numerical fashion. Beyond thermodynamics, addressed in terms of the global pressure and volume which are the appropriate variables of a fluid confined in a non-uniform harmonic potential, the density-density correlation function is also calculated and the corresponding correlation length is found. Evaluation of all these quantities as Bose-Einstein condensation (BEC) is approached manifest its critical continuous phase transition character. The divergence of the correlation length as the critical temperature is reached, unveils the expected spatial scale invariance proper of a critical transition. The logarithmic singularities of this transition are traced back to the non-analytic behavior of the thermodynamic variables at vanishing chemical potential, which is the onset of BEC. The critical exponents associated with the ideal BEC transition in the 2D inhomogeneous fluid reveals its own universality class. © 2024 The Author(s). Published by IOP Publishing Ltd.
Filiaciones:
Morales-Amador M.I.:
Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, México, D.F. 01000, Mexico
Romero-Rochín V.:
Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, México, D.F. 01000, Mexico
Paredes R.:
Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, México, D.F. 01000, Mexico
Green Submitted, hybrid, All Open Access; Green Open Access; Hybrid Gold Open Access
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